SOLUTION: If sin x= -1/3 and 3pie/2 < x < 2pie compute sin (-x) + cos(-x) + cot(-x)

Algebra ->  Trigonometry-basics -> SOLUTION: If sin x= -1/3 and 3pie/2 < x < 2pie compute sin (-x) + cos(-x) + cot(-x)      Log On


   

Question 812329: If sin x= -1/3 and 3pie/2 < x < 2pie compute sin (-x) + cos(-x) + cot(-x)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If sin x= -1/3 and 3pie/2 < x < 2pie compute sin (-x) + cos(-x) + cot(-x)
***
sinx=1/3
x≈5.9433 radians(in quadrant IV)
-x≈0.3398 radians(in quadrant I)
..
sin(-x)=sin(0.3398)=0.3333
cos(-x)=cos(0.3398)=0.9428
cot(-x)=cot(0.3398)=1/tan(0.3398)=2.8287
sin(-x)+cos(-x)+cot(-x)=.3333+.9428+2.8287=4.1048